Operational distance and fidelity for quantum channels

Details Operational distance and fidelity for quantum channels Operational distance and fidelity for quantum channels

2004-08-25

arxiv.org/abs/quant-ph/0408159v2

J. Math. Phys. 46 062106 (2005)

Physics

Quantum Physics

26 pages, amsart.cls; improved intro, fixed typos, added a reference; accepted by J. Math. Phys

Scientific paper

10.1063/1.1904510

We define and study a fidelity criterion for quantum channels, which we term the minimax fidelity, through a noncommutative generalization of maximal Hellinger distance between two positive kernels in classical probability theory. Like other known fidelities for quantum channels, the minimax fidelity is well-defined for channels between finite-dimensional algebras, but it also applies to a certain class of channels between infinite-dimensional algebras (explicitly, those channels that possess an operator-valued Radon--Nikodym density with respect to the trace in the sense of Belavkin--Staszewski) and induces a metric on the set of quantum channels which is topologically equivalent to the CB-norm distance between channels, precisely in the same way as the Bures metric on the density operators associated with statistical states of quantum-mechanical systems, derived from the well-known fidelity (`generalized transition probability') of Uhlmann, is topologically equivalent to the trace-norm distance.

Affiliated with

Also associated with

No associations

Rating

Operational distance and fidelity for quantum channels does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Operational distance and fidelity for quantum channels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operational distance and fidelity for quantum channels will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-476838